$(20pts)A$ W$12\backslash$times $19$ steel wide$-$flange beam made of ASTM A$36$ steel is loaded as shown. The corresponding reaction forces, shear and moment diagrams are also known as shown. The relevant appendix tables are given as below.

$(4$ pts$)$ Calculate the maximum bending stress ${}_{\text{m}\text{a}\text{x}}[ksi]$

$(4$ pts$)$ Calculate the allowable bending stress ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}\text{a}\text{b}\text{l}\text{e}}[$ksi$]$

$(4$ pts$)$ Calculate the maximum shear stress ${}_{\text{m}\text{a}\text{x}}[ksi]$

$(4$ pts$)$ Calculate the allowable shear stress ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}\text{a}\text{b}\text{l}\text{e}}[ksi]$

$(2$ pts$)$ If the beam strong enough in bending to support the existing loads? Why?

$(2$ pts$)$ If the beam strong enough in shear to support the existing loads? Why?